-6(x-3)=(x+9)

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Solution for -6(x-3)=(x+9) equation:


Simplifying
-6(x + -3) = (x + 9)

Reorder the terms:
-6(-3 + x) = (x + 9)
(-3 * -6 + x * -6) = (x + 9)
(18 + -6x) = (x + 9)

Reorder the terms:
18 + -6x = (9 + x)

Remove parenthesis around (9 + x)
18 + -6x = 9 + x

Solving
18 + -6x = 9 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
18 + -6x + -1x = 9 + x + -1x

Combine like terms: -6x + -1x = -7x
18 + -7x = 9 + x + -1x

Combine like terms: x + -1x = 0
18 + -7x = 9 + 0
18 + -7x = 9

Add '-18' to each side of the equation.
18 + -18 + -7x = 9 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = 9 + -18
-7x = 9 + -18

Combine like terms: 9 + -18 = -9
-7x = -9

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286

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